Question

If you have an infinite parallel plate capacitor with a voltage
difference V and insert an uncharged conducting sphere with radius
R between the plates, will the sphere experience a net force? Does
the answer depend on the location of the sphere? Draw a sketch of
the electric field with the sphere inside the infinite capacitor.
Does the charge to voltage relationship for the parallel plates
change when the sphere is inserted? If so, does the capacitance
increase or decrease? Explain.